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Finding the Fourth Proportional to 475,693.02, 713,658.45 and 335,725.02

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Solution

The fourth proportional to 475,693.02, 713,658.45 and 335,725.02 is: 503,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,693.02 : 713,658.45 = 335,725.02 : x
  2. Step 2: Convert to fraction form
    475,693.02/713,658.45 = 335,725.02/x
  3. Step 3: Cross multiply
    475,693.02x = 713,658.45 × 335,725.02
  4. Step 4: Simplify right side
    475,693.02x = 239,592,997,399.42
  5. Step 5: Solve for x
    x = 239,592,997,399.42/475,693.02
  6. Step 6: Final answer
    x = 503,671.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.